Home
Class 12
MATHS
If cos(alpha+beta)sin(gamma+delta)=cos(a...

If `cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta)` then the value of `cot alpha cot beta cot gamma,` is

A

`cot delta`

B

`-cot delta`

C

`tan delta`

D

`-tandelta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If cos(alpha+beta)sin(gamma +delta) = cos(alpha-beta)sin(gamma-delta) , then the value of cotalpha*cotbeta.cotgamma is :

If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta), prove that cot alpha cot beta cot gamma=cot delta

If cos(alpha+beta)*sin(gamma+delta)=cos(alpha-beta)*sin(gamma-delta) prove that cot alpha cot beta cot gamma=cot delta

If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)*sin(gamma-delta) ,prove that :cot alpha*cot beta*cot alpha=cot delta

Let cos(alpha-beta) + cos(beta - gamma) + cos(gamma - alpha)= -3/2 , then the value of cos alpha + cos beta + cos gamma is

If cos alpha+2cos beta+3cos gamma=sin alpha+2sin beta+3sin gamma=0 then the value of sin3 alpha+8sin3 beta+27sin3 gamma is sin(a+b+gamma)b.3sin(alpha+beta+gamma) c.18sin(alpha+beta+gamma) d.sin(alpha+2 beta+3)

If |{:(1,cos alpha, cos beta),(cos alpha, 1 , cos gamma ),(cos beta, cos gamma , 1):}|=|{:(0,cos alpha, cos beta),(cos alpha , 0 , cos gamma),(cos beta, cos gamma, 0):}| then the value of cos^2 alpha + cos^2 beta + cos^2 gamma is :

If sin alpha+sin beta+sin gamma=0=cos alpha+cos beta+cos gamma, then the value of sin^(2)alpha+sin^(2)beta+sin^(2)gamma, is

If (alpha+beta+gamma+delta)=pi then sum cos alpha cos beta-sum sin alpha sin beta=

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

    Text Solution

    |

  2. The value of the expression 3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(s...

    Text Solution

    |

  3. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

    Text Solution

    |

  4. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

    Text Solution

    |

  5. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

    Text Solution

    |

  6. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

    Text Solution

    |

  7. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

    Text Solution

    |

  8. If sin (picot theta)=cos (pi tantheta), then

    Text Solution

    |

  9. The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+...

    Text Solution

    |

  10. If ABCD is a convex quadrilateral such that 4 sec A+5 =0 then the quad...

    Text Solution

    |

  11. If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1,...

    Text Solution

    |

  12. cos(pi/15)cos((2pi)/15)cos((3pi)/15)cos((4pi)/15)cos((5pi)/15)cos((6pi...

    Text Solution

    |

  13. The value of cos12^(@)cos24^(@)cos36^(@)cos48^(@)cos72^(@)cos84^(@), i...

    Text Solution

    |

  14. The value of sin""(15pi)/(32)sin""(7pi)/(16)sin""(3pi)/(8), is

    Text Solution

    |

  15. sum(r=1)^(n-1)cos^(2)""(rpi)/(n) is equal to

    Text Solution

    |

  16. The value of cot theta-tantheta-2tan2theta-4tan4theta-8cot8theta, is

    Text Solution

    |

  17. If cos(x-y), cosx and cos(x+y) are in H.P., then cos x sec (y/2) equal...

    Text Solution

    |

  18. The value of tan20^(@)+2 tan50^(@)-tan70^(@), is

    Text Solution

    |

  19. If cosA+cosB+cosC=0, then cos3A+cos3B+cos3C is equal to

    Text Solution

    |

  20. Minimum value of cos2theta+costheta for all real value of theta is

    Text Solution

    |